For each of the scenarios below, circle which statistical method would be the best approach to use to answer the research question posed by putting anX to the right of the most appropriate method.Pick only 1

(a) An IT company wishes to improve its customer service by increasing the number of customer service representatives at its call center to handle calls. In order to inform the number of customer service representatives they need to hire, they needed to get a sense of how long customers are waiting on hold when calling their IT helpline. They want to be 90% certain that they hire enough customer service representatives so that no customer is ever put on hold. Consequently, they conducted a survey to ascertain how long customers were put on hold. They randomly selected 75 incoming calls to its helpline that were put on hold and recorded the duration they were on hold. Letm denote the mean waiting time on hold. What statistical method should they employ? (Pick one)

Compute a 90% Upper Bound form _______ Perform a Right-Tailed Test form _______

Perform a Left-Tailed Test form _______ Compute a 90% Lower Bound form _______

(b) An aspirin manufacturer claims its bottles contain 500 grains of aspirin. Letm represent the true mean weight of a tablet of aspirin. Since each bottle contains 100 tablets, if the manufactures claim is true then the true mean weight of the tablets should be 5 grains. Each of 100 tablets taken from a very large lot is weighed, resulting in a sample average weight of 4.87 grains and a sample standard deviation of 0.35 grain. An investigator wishes to know whether this data provide strong enough evidence to conclude that the company is short-changing the consumer. How should the investigator proceed? (Pick one)

Perform a Left-Tailed z-Test form _______ Perform a Left-Tailed t-Test form _______

Perform a Right-Tailed t-Test form _______ Compute a 90% Lower Bound form _______

(c) Hedgehog Hedge Fund uses complex stock model to inform their trading strategies. One particular model used for the car manufacturer, Rocket Motors, utilize various economic variables as model inputs. They are debating whether to take a position involving Rocket Motors stock. Consequently, they wish to be able to get a range of values for Rocket Motor's future stock price which will cover the actual stock price with 95% certainty. As there is a lot of money at stake, the firm hires a Quantitative Analyst to tackle the previous problem. Recognizing that the model input that most affects the value of the estimated stock price is the 'typical' price of a gallon of unleaded regular gas, he requests the company's market research group to provide him with the prices of a gallon of unleaded regular gas for a simple random sample of 1,000 gas stations across the US. How should he use this data to proceed with his task? (Pick one)

Calculate the sample average of the gas prices _______

Calculate the sample median of the gas prices _______

Compute a two-sided 95% confidence interval for the mean gas price _______

Calculate the sample standard deviation of the gas prices _______

(d) A Human Resource Specialist at a small consulting firm wishes to better understand where her company stands in terms of compensation compared to the competing firms. Her consulting company has a rather lean management structure, with the majority of the employees being entry-level consultants supervised by a substantially smaller proportion of consulting veterans who are being compensated rather handsomely compared to their subordinates. She wants to understand what a 'typical' employee at the firm is making in terms of yearly compensation. How should she proceed? (Pick one)

Calculate the sample average of the yearly salaries _______

Calculate the sample median of the yearly salaries _______

Calculate the sample standard deviation of the yearly salaries _______

Calculate the sample midrange of the yearly salaries _______